782000505077 has 16 divisors (see below), whose sum is σ = 854004940800. Its totient is φ = 710148662640.

The previous prime is 782000505059. The next prime is 782000505101. The reversal of 782000505077 is 770505000287.

782000505077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 782000505077 - 2¹⁰ = 782000504053 is a prime.

It is a super-4 number, since 4×782000505077⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782000505007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71169578 + ... + 71180564.

It is an arithmetic number, because the mean of its divisors is an integer number (53375308800).

Almost surely, 2^782000505077 is an apocalyptic number.

It is an amenable number.

782000505077 is a deficient number, since it is larger than the sum of its proper divisors (72004435723).

782000505077 is a wasteful number, since it uses less digits than its factorization.

782000505077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17336.

The product of its (nonzero) digits is 137200, while the sum is 41.

The spelling of 782000505077 in words is "seven hundred eighty-two billion, five hundred five thousand, seventy-seven".